mathematics, in the field of group theory, a locally finite group is a type of group that can be studied in ways analogous to a finite group. Sylow subgroups, Carter...

term locally finite has a number of different meanings in mathematics: Locally finite collection of sets in a topological space Locally finite group Locally...

integers Z. A locally cyclic group is a group in which every finitely generated subgroup is cyclic. The free group on a finite set is finitely generated by...

mathematics, a locally compact group is a topological group G for which the underlying topology is locally compact and Hausdorff. Locally compact groups are important...

In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every element g that is not the identity in G...

{\displaystyle (G,*)} is a locally finite group if and only if ( H , ⊙ ) {\displaystyle (H,\odot )} is locally finite. The number of distinct groups (up to isomorphism)...

profinite group is a topological group that is in a certain sense assembled from a system of finite groups. The idea of using a profinite group is to provide...

number theory, locally compact abelian groups are abelian groups which have a particularly convenient topology on them. For example, the group of integers...

every finite-dimensional vector space over the reals or a p-adic field. The Pontryagin dual of a locally compact abelian group is the locally compact...

locally cyclic group is a group (G, *) in which every finitely generated subgroup is cyclic. Every cyclic group is locally cyclic, and every locally cyclic...